Question

Try to do this.....

Answer 1

the answer is coming to 6/0.504=11.904

Answer 2

Answer:

11.904

Step-by-step explanation:

Given:

$\sqrt{3} =1.732$

$\sqrt{5} =2.236$

To find:

$\frac{6}{\sqrt{5}-\sqrt{3} }$

First we need to rationalise the above value to make it simpler,

$=\frac{6}{\sqrt{5}-\sqrt{3} } \times \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3} }$

In the denominator we can use the indentity which says:$(a+b)(a-b)=a^{2} -b^{2}$

Simplifying:

$=\frac{6(\sqrt{5}+\sqrt{3} ) }{(\sqrt{5)^{2}-(\sqrt{3})^{2} } }$

$=\frac{6(\sqrt{5}+\sqrt{3}) }{(5-3) }$

$=\frac{6(\sqrt{5}+\sqrt{3} ) }{2}$

$=3(\sqrt{5} +\sqrt{3} )$

Substituting the above values, we get:

$= 3(1.732+2.236)$

$= 3(3.968)$

$=11.904$

The value of the following on solving is equal to 11.904